42534416 has 40 divisors (see below), whose sum is σ = 86136600. Its totient is φ = 20345472.

The previous prime is 42534413. The next prime is 42534419. The reversal of 42534416 is 61443524.

It is an interprime number because it is at equal distance from previous prime (42534413) and next prime (42534419).

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 41731600 = 896^2 + 6460^2 .

It is a super-2 number, since 2×42534416² = 3618353088922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42534413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390170 + ... + 390278.

It is an arithmetic number, because the mean of its divisors is an integer number (2153415).

Almost surely, 2^42534416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42534416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43068300).

42534416 is an abundant number, since it is smaller than the sum of its proper divisors (43602184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42534416 is an equidigital number, since it uses as much as digits as its factorization.

42534416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 140 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 42534416 is about 6521.8414577480. The cubic root of 42534416 is about 349.0707759788.

The spelling of 42534416 in words is "forty-two million, five hundred thirty-four thousand, four hundred sixteen".